On unitary equivalence of quasi-free Hilbert modules

• Autorzy: Li Chen
• Języki publikacji: EN

Abstrakty

EN

We characterize unitary equivalence of quasi-free Hilbert modules, which complements Douglas and Misra's earlier work [New York J. Math. 11 (2005)]. We first confine our arguments to the classical setting of reproducing Hilbert spaces and then relate our result to equivalence of Hermitian vector bundles.

Kategorie tematyczne

• 46E22: Hilbert spaces with reproducing kernels (= [proper] functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2009
• Tom: 195
• Numer: 1
• Strony: 87-98

Daty

wydano

2009

Twórcy

autor

Li Chen

• School of Mathematics Science, Fudan University, Shanghai, 200433, China

Identyfikatory

DOI

10.4064/sm195-1-5